Answer:
So it would takes approximately 6.9 hours to reach 32 F.
Step-by-step explanation:
For this case we have the following differential equationÑ
We can reorder the expression like this:
We can use the substitution 
and 
so then we have:
IF we integrate both sides we got:
If we apply exponential in both sides we got:
And if we replace w = u-T we got:
We can also express the solution in the following terms:
For this case we know that 
since w ehave a cooloing, 
, we have this model:
And if we want that the temperature would be 32F we can solve for t like this:
If we apply natural logs on both sides we got:
So it would takes approximately 6.9 hours to reach 32 F.
negative 3...............................
Answer:
The answer is mean
Step-by-step explanation:
The mean is the average cost of the socks, so finding the mean of both would give an average price to compare them to. :)
Answer:
Step-by-step explanation:
two semicircles each of diameter 8 inches makes one circle with diameter=8 in.
radius r=8/2=4 in.
area of shaded region= πr^2=π×4²=16 π in²
≈16×3.14
≈50.24
≈50.2 in²
Answer:
Step-by-step explanation:
Write the equations in the form y = mx + b
If the equation contains exponents then it is non-linear, if not then it is linear.
2xy = 3
This graph forms a curve so it is non-linear
y = 1x³ + 5
This equation is non-linear because it contains an exponent
y = x/3
y = 1/3x + 0
This equation is linear ( no exponent(s) )
2y = 1/2x
y = 1/4x + 0
This equation is linear ( no exponent(s) )
